MAT0020/24C Beginning Algebra
State ALGEBRA Competency EXAM
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AN EXPLANATION AND PRACTICE PROBLEMS
Comp Exam Question |
Algebra State Test Competency |
Order of Operations (No Grouping / No Exponents) |
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Order of Operations (with Grouping and Exponents) |
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Absolute Value (with Addition and Subtraction) |
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Simplify Algebraic Expressions (Using the Distributive Property) |
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Evaluate an Algebraic Expression |
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Solve a Linear Equation |
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Solve a Linear Equation with Fraction Coefficient(s) |
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Solve a Literal Equation |
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Translate a Word Problem into an Algebraic Expression |
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Solve a Word Problem |
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Translate a Word Problem into a Proportion |
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Simplify Exponential Expressions (Positive Integer Exponents) |
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Simplify Exponential Expressions (Positive and Negative Integer Exp.) |
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Simplify Exponential Expressions (Positive, Neg. and Zero Integer Exp.) |
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Scientific Notation (To and From) |
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Subtraction of Polynomials: (polynomial) – (polynomial) |
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Multiply a Monomial and a Binomial: (monomial)(binomial) |
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Multiply Two Binomials: (binomial)(binomial) |
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Factoring a Polynomial: Greatest Common Factor (GCF) |
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Factoring a Polynomial: Difference of Two Squares |
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Factoring a Polynomial: By Grouping |
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Factoring a Polynomial: A Trinomial |
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Simplify a Rational Expression Reduce by Factoring |
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Solving Quadratic Equations by Factoring (Leading Coefficient is ONE, a=1) |
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Solving Quadratic Equations by Factoring (Leading Coefficient is not ONE) |
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Simplify Square Root of a Monomial |
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Simplify Square Root of a Polynomial Using the Distributive Property |
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Solving a Linear Inequality |
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Identify Intercepts of a Linear (ax + by = c) |
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Match Linear Equation to Graph (ax + by = c or y = mx + b) |